Pie chart representation of the fractional part of decimal 0.458
.458 = 458 /1000
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Is 0.458 a terminating, recurring or an irrational decimal?
Terminating decimals have a limited number of digits after the decimal point.
>>> Terminating decimal to fraction:
6493.21 = 6493 21 /100
Recurring decimals have one or more repeating numbers after the decimal point which continue on infinitely.
>>> Recurring decimal to fraction:
5606.3333 = 5606 3333 /10000 = 333/1000 = 33/100 = 1/3 (rounded)
Irrational decimals go on forever and never form a repeating pattern. This type of decimal cannot be expressed as a fraction.
>>> Irrational decimal: 0.344162040.....
Popular Conversions:
One Decimal Point to Fraction Conversions
Example:
992.5 = 992 5 /10
Two Decimal Points to Fraction Conversions:
Example:
4426.45 = 4426
45 /
100
Three Decimal Points to Fraction Conversions:
Example:
4566.402 = 4566
402 /
1000
Four Decimal Points to Fraction Conversions:
Example:
86393.3429 = 86393
3429 /
10000